{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4J2574V5KCCQPEBOARR22CTSQ5","short_pith_number":"pith:4J2574V5","canonical_record":{"source":{"id":"1808.03021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-09T05:09:13Z","cross_cats_sorted":[],"title_canon_sha256":"1a2b1ab82540cef3bd13729793de8369ac51ad7b943039d00b6188e57550bd64","abstract_canon_sha256":"8f928ef5698deaf35a3fc19c1c730d3fca4be8cf1ff3b1bdd46adca6161f351a"},"schema_version":"1.0"},"canonical_sha256":"e275dff2bd508507902e0463ad0a7287717daf7c3d1d3264bac4460e698c9e07","source":{"kind":"arxiv","id":"1808.03021","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03021","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03021v2","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03021","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"4J2574V5KCCQ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4J2574V5KCCQPEBO","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4J2574V5","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4J2574V5KCCQPEBOARR22CTSQ5","target":"record","payload":{"canonical_record":{"source":{"id":"1808.03021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-09T05:09:13Z","cross_cats_sorted":[],"title_canon_sha256":"1a2b1ab82540cef3bd13729793de8369ac51ad7b943039d00b6188e57550bd64","abstract_canon_sha256":"8f928ef5698deaf35a3fc19c1c730d3fca4be8cf1ff3b1bdd46adca6161f351a"},"schema_version":"1.0"},"canonical_sha256":"e275dff2bd508507902e0463ad0a7287717daf7c3d1d3264bac4460e698c9e07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:25.286638Z","signature_b64":"fgcNp1z0G265FxtOjg43ufwllb7JyRTs/QG3yR1yVbxCVOfco9fUiWKvf04R/gUfO5mEMKgFG/VB6drE3O+GAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e275dff2bd508507902e0463ad0a7287717daf7c3d1d3264bac4460e698c9e07","last_reissued_at":"2026-05-18T00:08:25.286197Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:25.286197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.03021","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PhfxbdPUdA2i67TAig+fPEjllTe88cszokbHQ2xEW82LaTXXaYy0WsLS2MXWU/Ie16tOAwJzkHTexBsghuHKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T00:01:32.490889Z"},"content_sha256":"08f2516d943974b7d3dfe7d783ffbfe2188e14a75c58b279e3810d3f3f039ccc","schema_version":"1.0","event_id":"sha256:08f2516d943974b7d3dfe7d783ffbfe2188e14a75c58b279e3810d3f3f039ccc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4J2574V5KCCQPEBOARR22CTSQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gradient Dynamic Approach to the Tensor Complementarity Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Liqun Qi, Maolin Che, Xuezhong Wang, Yimin Wei","submitted_at":"2018-08-09T05:09:13Z","abstract_excerpt":"Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP) is presented. Theoretical analysis shows that each of the defined dynamical system models ensures the convergence performance. The computer simulation results further substantiate that the considered dynamical system can solve the tensor complementarity problem (TCP)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03021","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l9MVF3eO94Nn5xN7sQub72tAGGNutcXb6p0zTx3QaKFKZ611w5annpayImJpFxq4WLdz/W+YgMrXtK+OOMeDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T00:01:32.491261Z"},"content_sha256":"101173cc7fc3a880550d5a6ffc1ad81db4cf17de4211e3da48878f2f5f54e83e","schema_version":"1.0","event_id":"sha256:101173cc7fc3a880550d5a6ffc1ad81db4cf17de4211e3da48878f2f5f54e83e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4J2574V5KCCQPEBOARR22CTSQ5/bundle.json","state_url":"https://pith.science/pith/4J2574V5KCCQPEBOARR22CTSQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4J2574V5KCCQPEBOARR22CTSQ5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-23T00:01:32Z","links":{"resolver":"https://pith.science/pith/4J2574V5KCCQPEBOARR22CTSQ5","bundle":"https://pith.science/pith/4J2574V5KCCQPEBOARR22CTSQ5/bundle.json","state":"https://pith.science/pith/4J2574V5KCCQPEBOARR22CTSQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4J2574V5KCCQPEBOARR22CTSQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4J2574V5KCCQPEBOARR22CTSQ5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8f928ef5698deaf35a3fc19c1c730d3fca4be8cf1ff3b1bdd46adca6161f351a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-09T05:09:13Z","title_canon_sha256":"1a2b1ab82540cef3bd13729793de8369ac51ad7b943039d00b6188e57550bd64"},"schema_version":"1.0","source":{"id":"1808.03021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03021","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03021v2","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03021","created_at":"2026-05-18T00:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"4J2574V5KCCQ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4J2574V5KCCQPEBO","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4J2574V5","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:101173cc7fc3a880550d5a6ffc1ad81db4cf17de4211e3da48878f2f5f54e83e","target":"graph","created_at":"2026-05-18T00:08:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP) is presented. Theoretical analysis shows that each of the defined dynamical system models ensures the convergence performance. The computer simulation results further substantiate that the considered dynamical system can solve the tensor complementarity problem (TCP).","authors_text":"Liqun Qi, Maolin Che, Xuezhong Wang, Yimin Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-09T05:09:13Z","title":"Gradient Dynamic Approach to the Tensor Complementarity Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03021","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:08f2516d943974b7d3dfe7d783ffbfe2188e14a75c58b279e3810d3f3f039ccc","target":"record","created_at":"2026-05-18T00:08:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8f928ef5698deaf35a3fc19c1c730d3fca4be8cf1ff3b1bdd46adca6161f351a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-09T05:09:13Z","title_canon_sha256":"1a2b1ab82540cef3bd13729793de8369ac51ad7b943039d00b6188e57550bd64"},"schema_version":"1.0","source":{"id":"1808.03021","kind":"arxiv","version":2}},"canonical_sha256":"e275dff2bd508507902e0463ad0a7287717daf7c3d1d3264bac4460e698c9e07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e275dff2bd508507902e0463ad0a7287717daf7c3d1d3264bac4460e698c9e07","first_computed_at":"2026-05-18T00:08:25.286197Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:25.286197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fgcNp1z0G265FxtOjg43ufwllb7JyRTs/QG3yR1yVbxCVOfco9fUiWKvf04R/gUfO5mEMKgFG/VB6drE3O+GAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:25.286638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08f2516d943974b7d3dfe7d783ffbfe2188e14a75c58b279e3810d3f3f039ccc","sha256:101173cc7fc3a880550d5a6ffc1ad81db4cf17de4211e3da48878f2f5f54e83e"],"state_sha256":"d9f891681bf1a074a7561dec4ebbf42922ae64ef3e24f40b5286dc8899609ebb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ys6edftX/LFfyrtAo5qj2dJIKTc9YrH9axVUywEWwBF9Xzyg6ggp+hnTJOE3y0sdg3U33/3tXiazjRWOUh7rBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T00:01:32.494289Z","bundle_sha256":"e77a85bbe189988ed5887725db90386c6c48403f8f83a3aee622962ed091c383"}}